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Determine order and degree (if defined) of differential equations given in \frac{{{d}^{4}}y}{d{{x}^{^{4}}}}+\sin (y'')=0
CBSE | Class 12 | Differential Equations | Exercise 9.1 | NCERT
Determine order and degree (if defined) of differential equations given in \frac{{{d}^{4}}y}{d{{x}^{^{4}}}}+\sin (y'')=0

The given differential equation is,

NCERT Solutions for Class 12 Maths Chapter 9 - Image 2

⇒ y”” + sin (y’’’) = 0

The highest order derivative present in the differential equation is y’’’’,Therefore, its order is three.

Hence, the given differential equation is not a polynomial equation in its derivatives and so, its degree is not defined.

i

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